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marishachu [46]
3 years ago
8

Part 1: Joe and Hope were both asked to factor the following polynomial completely. Is one of them correct? Both of them? Neithe

r of them? Explain what each of them did was correct and/or incorrect.
Part 2:

Find all the values of k so the the quadratic expression factors into two binomials. Explain the process used to find the values.

3x^2 + kx - 8​

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
7 0
<h3>Part 1</h3>

If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.

<u>The first binomial can be further factored:</u>

  • 8x + 12 = 4(2x + 3)
<h3>Part 2</h3>

The quadratic expression needs to have two roots in order to be factored as two binomials.

<u>The discriminant must be positive or zero:</u>

  • D = b² - 4ac ≥ 0

We have a = 3, b = k, c = -8

<u>So we get following inequality:</u>

  • k² - 4*3*(-8) ≥ 0
  • k² + 96 ≥ 0

<u>Since k² is positive for any value of k, the solution is any value of k:</u>

  • k ∈ R
velikii [3]3 years ago
7 0

Hope this attachment helps you.

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Math help please!!!! i will mark brainliest
finlep [7]

Answer:

Step-by-step explanation:

A. 221 x 5 = 1,105

225 + 245 + 222 +230 = 922

1,105 - 922 = <u>183</u>

B. 225 is the median

C. 229 is Isaac's score for the sixth game

Hope this helps :)

7 0
3 years ago
The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the
Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4

6 0
3 years ago
A rectangle has an AREA of 36in2​ and the height measures 9 in. What is the base measurement?
RSB [31]
Area =bh
36in2=b(9)
——— ——
9 9

36
—— =4
9

Base= 4
7 0
2 years ago
May you Compare v5 and 1.3
Julli [10]
I’m pretty sure it is 71
8 0
3 years ago
What is the ratio of x to y?
abruzzese [7]
\frac{3}{2} = \frac{2x}{2x+y}

From any proportion, we get another proportion by inverting the extremes (or the means):

\frac{2x+y}{2} = \frac{2x}{3} = k

so we have:

2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k

x=\frac{3}{2} k

\frac{x}{y} = - \frac{3}{2}

The corect answer is A. -3/2

or:

\frac{3}{2} = \frac{2x}{2x+y}

From any proportion, we get another proportion by inverting the extremes and the means:

\frac{2x+y}{2x} = \frac{2}{3}

We use a property of proportions:

\frac{a}{b} = \frac{c}{d}  where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),

so we have

\frac{a-b}{b} = \frac{c-d}{d}  or

\frac{a+b}{b} = \frac{c+d}{d}  (you can check this also by "the product of the extremes equals the product of the means")

\frac{2x+y}{2x} = \frac{2}{3}

\frac{(2x+y)-2x}{2x} = \frac{2-3}{3}

\frac{y}{2x} = \frac{-1}{3}

3y = - 2x

\frac{x}{y} = -\frac{3}{2}



4 0
3 years ago
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